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Finding the Third Proportional to 396,781.88 and 567,172.13

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Solution

The third proportional to 396,781.88 and 567,172.13 is: 810,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,781.88 : 567,172.13 = 567,172.13 : x
  2. Step 2: Convert to fraction form
    396,781.88/567,172.13 = 567,172.13/x
  3. Step 3: Cross multiply
    396,781.88x = 567,172.13 × 567,172.13
  4. Step 4: Simplify right side
    396,781.88x = 321,684,219,377.02
  5. Step 5: Solve for x
    x = 321,684,219,377.02/396,781.88
  6. Step 6: Final answer
    x = 810,733.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.